Analytic functions, also known as holomorphic functions, form the cornerstone of complex analysis, widely studied for their elegant properties and deep connections in both pure and applied mathematics ...

Analytic number theory continues to serve as a cornerstone of modern mathematics through its probing study of zeta functions and their applications. At the heart of this discipline is the classical ...

An isometric expansion is derived which recaptures any H2 function from a restriction of its boundary function to a Borel set. Journal Information This monthly journal, begun in 1950, is devoted ...

The characterization of analytic functions defined on a compact set K in R N by their polynomial approximation is possible if and only if K satisfies some "Bernstein type inequality", estimating any ...